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Finding the Third Proportional to 85,384.69 and 127,383.75

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Solution

The third proportional to 85,384.69 and 127,383.75 is: 190,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,384.69 : 127,383.75 = 127,383.75 : x
  2. Step 2: Convert to fraction form
    85,384.69/127,383.75 = 127,383.75/x
  3. Step 3: Cross multiply
    85,384.69x = 127,383.75 × 127,383.75
  4. Step 4: Simplify right side
    85,384.69x = 16,226,619,764.06
  5. Step 5: Solve for x
    x = 16,226,619,764.06/85,384.69
  6. Step 6: Final answer
    x = 190,041.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.